We prove a limit theorem for quantum stochastic differential equations with unbounded
coefficients which extends the Trotter–Kato theorem for contraction semigroups. From this …

A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a
Hilbert space, in terms of their associated semigroups, yields a general principle for the …

We develop a general technique for proving convergence of repeated quantum interactions
to the solution of a quantum stochastic differential equation. The wide applicability of the …

Unitary Processes with Independent Increments and Representations of Hilbert Tensor Algebras
Page 1 Publ. RIMS, Kyoto Univ. 45 (2009), 745–785 Unitary Processes with Independent …

Following the approach proposed by AM Chebotarev, we study the generator of a strongly
continuous unitary group associated with solutions of the Hudson-Parthasarathy quantum …

Robin Hudson's pathless path to quantum stochastic calculus Page 1 Communications on
Stochastic Analysis Volume 4 Number 4 Article 2 12-1-2010 Robin Hudson's pathless path …

This is a continuation of the earlier work (Publ. Res. Inst. Math. Sci. 45 (2009) 745–785) to
characterize unitary stationary independent increment Gaussian processes. The earlier …

Characterization of unitary processes with independent increments Page 1 Communications
on Stochastic Analysis Volume 4 Number 4 Article 9 12-1-2010 Characterization of unitary …

Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are
reviewed. The first concerns mapping cocycles on an operator space and demonstrates the …

arXiv:1008.2275v1 [math.FA] 13 Aug 2010 Page 1 arXiv:1008.2275v1 [math.FA] 13 Aug 2010
CHARACTERIZATION OF UNITARY PROCESSES WITH INDEPENDENT INCREMENTS UN …